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Finding the Fourth Proportional to 589,604.94, 813,676.59 and 334,999.26

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Solution

The fourth proportional to 589,604.94, 813,676.59 and 334,999.26 is: 462,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,604.94 : 813,676.59 = 334,999.26 : x
  2. Step 2: Convert to fraction form
    589,604.94/813,676.59 = 334,999.26/x
  3. Step 3: Cross multiply
    589,604.94x = 813,676.59 × 334,999.26
  4. Step 4: Simplify right side
    589,604.94x = 272,581,055,529.32
  5. Step 5: Solve for x
    x = 272,581,055,529.32/589,604.94
  6. Step 6: Final answer
    x = 462,311.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.